2968992 has 108 divisors (see below), whose sum is σ = 9292374. Its totient is φ = 898560.

The previous prime is 2968967. The next prime is 2969003. The reversal of 2968992 is 2998692.

It can be written as a sum of positive squares in 3 ways, for example, as 646416 + 2322576 = 804^2 + 1524^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48642 + ... + 48702.

2^2968992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2968992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646187).

2968992 is an abundant number, since it is smaller than the sum of its proper divisors (6323382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2968992 is a wasteful number, since it uses less digits than its factorization.

2968992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 2968992 is about 1723.0763186812. The cubic root of 2968992 is about 143.7263320832.

The spelling of 2968992 in words is "two million, nine hundred sixty-eight thousand, nine hundred ninety-two".